SOLUTION: Can you please help me solve this problem? In a country, deforestation occurs at the rate of about 4.1% per year. Assume that the amount of forest remaining is determined by the fu

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Question 1073461: Can you please help me solve this problem? In a country, deforestation occurs at the rate of about 4.1% per year. Assume that the amount of forest remaining is determined by the function +F+=+Fo+%2A+e+%5E%28-0.041t%29+, where Fo is the present acreage of forest land and t is the time in years from the present. In how many years will there be only 60% of the present acreage remaining? Hint: Find the amount of time it takes for Fo to become 0.06Fo. I'm not sure how to start this problem off.
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Can you please help me solve this problem? In a country, deforestation occurs at the rate of about 4.1% per year. Assume that the amount of forest remaining is determined by the function +F+=+Fo+%2A+e+%5E%28-0.041t%29+, where Fo is the present acreage of forest land and t is the time in years from the present. In how many years will there be only 60% of the present acreage remaining? Hint: Find the amount of time it takes for Fo to become 0.06Fo. I'm not sure how to start this problem off.
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So yes, that is close, except 60% is 0.60 (not 0.06).
+F+=+0.60Fo+=+Fo%2Ae%5E%28-0.041t%29+
+++++++0.60+=+e%5E%28-0.041t%29+
+++ln%280.60%29+=+-0.041t+

You'll just need to solve for t from here...